2022234729840 has 240 divisors, whose sum is σ = 7389151730688. Its totient is φ = 492648873984.

The previous prime is 2022234729817. The next prime is 2022234729841. The reversal of 2022234729840 is 489274322202.

2022234729840 is a `hidden beast` number, since 2 + 0 + 222 + 347 + 2 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022234729841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205744 + ... + 2021583.

Almost surely, 2^{2022234729840} is an apocalyptic number.

2022234729840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022234729840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694575865344).

2022234729840 is an abundant number, since it is smaller than the sum of its proper divisors (5366917000848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2022234729840 is a wasteful number, since it uses less digits than its factorization.

2022234729840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227456 (or 2227447 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2022234729840 in words is "two trillion, twenty-two billion, two hundred thirty-four million, seven hundred twenty-nine thousand, eight hundred forty".